Characteristics of Kepler Planetary Candidates Based on the First Data Set

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Characteristics of Kepler Planetary Candidates Based on the First Data Set

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Borucki, William J. et al. “Characteristics of Kepler Planetary

Candidates Based on the First Data Set.” The Astrophysical

Journal 728.2 (2011): 117. © 2011 IOP Publishing http://dx.doi.org/10.1088/0004-637x/728/2/117

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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.

The Astrophysical Journal

, 728:117 (20pp), 2011 February 20

C 2011. The American Astronomical Society. All rights reserved. Printed in the U.S.A.

doi: 10.1088/0004-637X/728/2/117

CHARACTERISTICS OF KEPLER PLANETARY CANDIDATES BASED ON THE FIRST DATA SET

William J. Borucki

1

, David G. Koch

1

, Gibor Basri

2

, Natalie Batalha

3

, Alan Boss

4

, Timothy M. Brown

5

,

Douglas Caldwell

6

, Jørgen Christensen-Dalsgaard

7

, William D. Cochran

8

, Edna DeVore

6

, Edward W. Dunham

9

,

Andrea K. Dupree

10

, Thomas N. Gautier III

11

, John C. Geary

10

, Ronald Gilliland

12

, Alan Gould

13

, Steve B. Howell

14

,

Jon M. Jenkins

6

, Hans Kjeldsen

7

, David W. Latham

10

, Jack J. Lissauer

1

, Geoffrey W. Marcy

2

, David G. Monet

15

,

Dimitar Sasselov

10

, Jill Tarter

6

, David Charbonneau

10

, Laurance Doyle

6

, Eric B. Ford

16

, Jonathan Fortney

17

,

Matthew J. Holman

10

, Sara Seager

18

, Jason H. Steffen

19

, William F. Welsh

20

, Christopher Allen

21

, Stephen

T. Bryson

1

, Lars Buchhave

10

, Hema Chandrasekaran

6

, Jessie L. Christiansen

6

, David Ciardi

22

, Bruce D. Clarke

6

,

Jessie L. Dotson

1

, Michael Endl

8

, Debra Fischer

23

, Francois Fressin

10

, Michael Haas

1

, Elliott Horch

24

,

Andrew Howard

2

, Howard Isaacson

2

, Jeffery Kolodziejczak

25

, Jie Li

6

, Phillip MacQueen

8

, Søren Meibom

10

,

Andrej Prsa

26

, Elisa V. Quintana

6

, Jason Rowe

1

, William Sherry

14

, Peter Tenenbaum

6

, Guillermo Torres

10

,

Joseph D. Twicken

6

, Jeffrey Van Cleve

6

, Lucianne Walkowicz

2

, and Hayley Wu

6

1

NASA Ames Research Center, Moffett Field, CA 94035, USA; William.J.Borucki@nasa.gov

2

University of California, Berkeley, CA 94720, USA

3

San Jose State University, San Jose, CA 95192, USA

4

Carnegie Institute of Washington, Washington, DC 20015, USA

5

Las Cumbres Observatory Global Telescope, Goleta, CA 93117, USA

6

SETI Institute, Mountain View, CA 94043, USA

7

Aarhus University, Aarhus, Denmark

8

McDonald Observatory, University of Texas at Austin, Austin, TX 78712, USA

9

Lowell Observatory, Flagstaff, AZ 86001, USA

10

Harvard-Smithsonian Center for Astrophysics, Cambridge, MA 02138, USA

11

Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA 91109, USA

12

Space Telescope Science Institute, Baltimore, MD 21218, USA

13

Lawrence Hall of Science, Berkeley, CA 94720, USA

14

NOAO, Tucson, AZ 85719, USA

22

15

United States Naval Observatory, Flagstaff, AZ 86001, USA

16

University of Florida, Gainesville, FL 32611, USA

17

University of California, Santa Cruz, CA 95064, USA

18

MIT, Cambridge, MA 02139, USA

19

Fermilab, Batavia, IL 60510, USA

20

San Diego State University, San Diego, CA 92182, USA

21

Orbital Sciences Corp., Mountain View, CA 94043, USA

Exoplanet Science Institute / Caltech, Pasadena, CA 91125, USA

23

Yale University, New Haven, CT 06520, USA

24

Southern Connecticut State University, New Haven, CT 06515, USA

25

MSFC, Huntsville, AL 35805, USA

26

Villanova University, Villanova, PA 19085, USA

Received 2010 July 21; accepted 2010 December 13; published 2011 January 28

ABSTRACT

In the spring of 2009, the Kepler Mission commenced high-precision photometry on nearly 156,000 stars to determine the frequency and characteristics of small exoplanets, conduct a guest observer program, and obtain asteroseismic data on a wide variety of stars. On 2010 June 15, the Kepler Mission released most of the data from the first quarter of observations. At the time of this data release, 705 stars from this first data set have exoplanet candidates with sizes from as small as that of Earth to larger than that of Jupiter. Here we give the identity and characteristics of 305 released stars with planetary candidates. Data for the remaining 400 stars with planetary candidates will be released in 2011 February. More than half the candidates on the released list have radii less than half that of Jupiter. Five candidates are present in and near the habitable zone; two near super-Earth size, and three bracketing the size of Jupiter. The released stars also include five possible multi-planet systems. One of these has two Neptune-size (2.3 and 2.5 Earth radius) candidates with near-resonant periods.

Key words: planets and satellites: detection – surveys

Online-only material: color figures

1. INTRODUCTION

Kepler is a Discovery-class mission designed to determine the frequency of Earth-size planets in and near the habitable zone (HZ) of solar-type stars. The instrument consists of a 0.95 m aperture telescope / photometer designed to obtain high-precision photometric measurements of > 100,000 stars to search for patterns of transits. The focal plane of the Schmidttype telescope contains 42 CCDs with a total of 95 megapixels that cover 115 deg 2 of sky.

Kepler was launched into an

Earth-trailing heliocentric orbit on 2009 March 6, finished its commissioning on 2009 May 12, and is now in science operations mode. Further details of the Kepler Mission and

instrument can be found in Koch et al. ( 2010b ), Jenkins et al.

( 2010c

), and Caldwell et al. ( 2010 ).

During the commissioning period, photometric measurements were obtained at a 30-minute cadence for 53,000 stars for 9.7 days. During the first 33.5 days of science-mode

1

The Astrophysical Journal

, 728:117 (20pp), 2011 February 20 operation, 156,097 stars were similarly observed. Five new exoplanets with sizes between 0.37 and 1.6 Jupiter radii and orbital periods from 3.2 to 4.9 days were confirmed by radial velocity (RV) observations (Borucki et al.

2010 ; Koch et al.

2010a ;

Dunham et al.

2010 ; Jenkins et al.

2010a ; Latham et al.

2010 ).

The results discussed in this paper are based on the first data segment taken at the beginning of science operations on 2009

May 13 UT and finished on 2009 15 June 15 UT; a 33.5-day segment (labeled Q1).

The observations used Kepler ’s normal list of 156,097 exoplanet target stars. The Kepler K p bandpass covers both the V and R photometric passbands. These stars are primarily mainsequence dwarfs chosen from the Kepler Input Catalog (KIC).

Stars were chosen to maximize the number of stars that were both bright and small enough to show detectable transit signals for small planets in and near the HZ (Batalha et al.

2010 ). Most

stars were in the magnitude range 9 < K p

< 16.

Data for all stars are recorded at a cadence of one per

29.4 minutes (hereafter, long cadence, or LC). Data for a subset of 512 stars are also recorded at a cadence of one per

58.5 s (hereafter, short cadence or SC), sufficient to conduct asteroseismic observations needed for measurements of the stars’ size, mass, and age. The results presented here are based only on LC data. For a full discussion of the LC data and their

reduction, see Jenkins et al. ( 2010b , 2010c ); see Gilliland et al.

( 2010 ) for a discussion of the SC data.

At the one-year anniversary of the receipt of the first set of data from the beginning of science operations, the data for

156,097 stars covering these two periods are now available to the public, apart from two exceptions: 400 stars held back to allow completion of one season of observations by the Kepler team, and 2778 stars held back for the Guest Observers and

Asteroseismic Science Consortium (KASC). These data will be released on 2011 February 1, and in 2010 November when the proprietary period is complete, respectively. A total of 152,919 stars are now available at several levels of processing at the

Multi-Mission Archive at the Space Telescope Science Institute

(MAST 27 ) for analysis by the community.

2. DESCRIPTION OF THE DATA

Because of great improvements to the data-processing pipeline, many more candidates are readily visible than in the data used for the papers published in early 2010. During the early phase of operations, many of the candidates were found by visual inspection, but with recent improvements to the analysis pipeline, most are now being detected in an automated fashion. Over 855 stars with transiting exoplanet signatures have been identified. Of those, approximately 150 have been identified as likely false positives and, consequently, removed from consideration as viable exoplanet candidates.

A separate paper that identifies false positive events found in the released data will be submitted. In the interim, see the list at the MAST. False positive events are patterns of dimming that appear to be the result of planetary transits, but are actually caused by other astrophysical processes or by instrumental fluctuations in the brightness values that mimic planetary transits. The identification of the false positives should help the community avoid wasting observation resources.

Data and search techniques capable of finding planetary transits are also very sensitive to eclipsing binary (EB) stars, and indeed the number of EBs discovered with Kepler vastly

27 http://archive.stsci.edu/kepler/kepler_fov/search.php

2

Borucki et al.

exceeds the number of planetary candidates. With more study, some of the current planetary candidates might also be shown to

be EBs. Prsa et al. ( 2010 ) present a list of EBs with their basic

system parameters that have been detected in these early data.

The discussion in this paper covers the 305 stars with candidates that the Kepler team does not plan to give high priority for follow-up confirmation. These are generally faint stars and were not observed for the first 9.7-day time interval.

Thus, only 33.5 days of data are available for most candidates discussed herein. An

Appendix

identifying these candidates and providing their characteristics is attached.

2.1. Selecting the Candidates to Release

The candidates discussed here do not include 400 stars selected as high-priority targets. These are primarily those amenable to ground-based follow-up observations and those with the smallest candidates. In particular, these stars include

(1) those showing two or more sets of transit events at distinctly different periods, (2) those showing any indication of transittiming variations that could lead to detection of additional planets, (3) stars cooler than 4000 K, (4) stars brighter than

K p

=

13.9, (5) candidates with a likelihood of showing a secondary occultation event, and (6) stars with candidates smaller than 1.5

R

. The likelihood of an occultation event is determined by computing the ratio of the stellar luminosity to the thermal emission of the planet assuming an even distribution of energy over the day and night side of the planet, an albedo of 0.1, and a circular orbit at a distance given by the stellar properties in the KIC and the period provided by the transit photometry.

This ratio is then compared to the expected photometric noise given the apparent brightness of the star in question. Targets are flagged if the occultation depth is expected to be larger than 2 σ . Collectively, these criteria yielded 400 stars, though the large majority of candidates were selected simply based on the brightness cutoff (e.g., amenability to ground-based followup observations). These targets will be released to the public in

2011 February, giving the team a full observing season to collect follow-up observations that will help to weed out astrophysical false positives. The remaining 305 stars comprise the sample described herein.

2.2. Noise Sources in the Data

The Kepler photometric data contain a wide variety of both random and systematic noise sources. Random noise sources such as shot noise from the photon flux and read noise have

(white) Gaussian distributions. Stellar variability introduces red (correlated) noise. For many stars, stellar variability is the largest noise source. There are also many types of instrumentinduced noise: pattern noise from the clock drivers for the “fineguidance” sensors, start-of-line ringing, overshoot / undershoot due to the finite bandwidth of the detector amplifiers, and signals that move through the output produced by some of the amplifiers that oscillate. The latter noise patterns (which are typically smaller than one least-significant-bit in the digital-toanalog converter for a single read operation) are greatly affected by slight temperature changes, making their removal difficult.

Noise due to pointing drift, focus changes, differential velocity aberration, CCD defects, cosmic ray events, reaction wheel heater cycles, breaks in the flux time series due to desaturation of the reaction wheels, spacecraft upsets, monthly rolls to downlink the data, and quarterly rolls to re-orient the spacecraft to keep the solar panels pointed at the Sun are also present.

The Astrophysical Journal

, 728:117 (20pp), 2011 February 20

These sources and others are treated in Jenkins et al. ( 2010b )

and Caldwell et al. ( 2010 ). Work is underway to improve the

mitigation and flagging of the affected data. Additional noise sources are seen in the short cadence data (Gilliland et al.

2010 ).

In particular, a frequency analysis of these data often shows spurious regularly spaced peaks at 48.9388 day

1 and their harmonics. Additionally, there appears to be a noise source that causes additive offsets in the time domain inversely proportional to stellar brightness.

Because of the complexity of the various small effects that are important to the quality of the Kepler data, prospective users of Kepler data are strongly urged to study the data release notes

(hosted at the MAST) for the data sets they intend to use. Note that the Kepler data analysis pipeline was designed to perform differential photometry to detect planetary transits so other uses of the data products require caution.

2.3. Distinguishing Planetary Candidates from False Positive Events

Stars that show a pattern consistent with those from a planet transiting its host star are labeled “planetary candidates.” Those that were at one time considered to be planetary candidates, but subsequently failed some consistency test, are labeled “false positives.” Thus, the search for planets starts with a search of the time series of each star for a pattern that exceeds a detection threshold commensurate with a non-random event.

After passing all consistency tests described below, and only after a review of all the evidence by the entire Kepler Science

Team, does the candidate become a validated exoplanet. It is then submitted to a peer-reviewed journal for publication.

There are two general types of processes associated with false positive events in the Kepler data that must be evaluated and eliminated before a candidate planet can be considered a valid discovery: (1) statistical fluctuations or systematic variations in the time series, and (2) astrophysical phenomena that produce similar signals. A sufficiently high threshold has been used that statistical fluctuations should not contribute to the candidates proposed here. Similarly, systematic variations in the data have been interpreted in a conservative manner and only rarely should result in false positives. However, astrophysical phenomena that produce transit-like signals will be much more common.

2.4. Search for False Positives in the Output of the Data Pipeline

The Transiting Planet Search (TPS) pipeline searches through each systematic error-corrected flux time series for periodic sequences of negative pulses corresponding to transit signatures. The approach is a wavelet-based, adaptive matched filter that characterizes the power spectral density (PSD) of the background process yielding the observed light curve and uses this time-variable PSD estimate to realize a pre-whitening filter and whiten the light curve (Jenkins

2002 ; Jenkins et al.

2010c ,

2010d ). Transiting Planet Search then convolves a transit wave-

form, whitened by the same pre-whitening filter as the data, with the whitened data to obtain a time series of single event statistics. These represent the likelihood that a transit of that duration is present at each time step. The single event statistics are combined into multiple event statistics by folding them at trial orbital periods ranging from 0.5 days to as long as one quarter

(

90 days). The step sizes in period and epoch are chosen to control the minimum correlation coefficient between neighboring transit models used in the search so as to maintain a high

3

Borucki et al.

sensitivity to transit sequences in the data. The transit durations used for TPS through 2010 June were 3, 6, and 12 hr. These transit durations will be augmented to include 1.5, 2.0, 2.5, 3.0,

4.0, 5.0, 6.0, 7.5, 9.5, 12.0, and 15.0 hr in order to maintain a similar degree of sensitivity as that achieved for epoch and period. This modification should increase the sensitivity to low signal-to-noise ratio (S / N) signals. Transiting Planet Search is also being modified to conduct searches across the entire mission duration by “stitching” quarterly segments together so that we can identify periods longer than one quarter in the data.

The maximum multiple event statistics is collected for each star and those with maximum multiple event statistics greater than 7.1

σ are flagged as threshold crossing events (TCEs).

The Data Validation (DV) pipeline fits limb-darkened transit models to each TCE and performs a suite of diagnostic tests to build or break confidence in each TCE as a planetary signature as opposed to an EB or noise fluctuation (Wu et al.

2010 ; Tenenbaum et al.

2010 ). Data Validation removes the

transit signature from the light curve and searches for additional transiting planets using a call to TPS. Threshold crossing events with transit depths more than 15% are not processed by DV since they are most likely to be EBs. Also, currently light curves whose maximum multiple event statistics are less than

1.25 times the maximum single event statistic are not processed by DV since these are likely due to one large single event, and most of these cases are due to radiation-induced step discontinuities introduced at the pixel level.

Using these estimates and information about the star from the

KIC, tests are performed to search for a difference in even- and odd-numbered event depths. If a significant difference exists, this would suggest that a comparable-brightness EB has been found for which the true period is twice that determined due to the presence of primary and secondary eclipses. Similarly, a search is conducted for evidence of a secondary eclipse or a possible planetary occultation roughly half-way between the potential transits. If a secondary eclipse is seen, then this could indicate that the system is an EB with the period assumed.

However, the possibility of a self-luminous planet (as with

HAT-P-7; Borucki et al.

2009 ) must be considered before

dismissing a candidate as a false positive.

The shift in the centroid position of the target star measured in and out of the transits must be consistent with that predicted from the fluxes and locations of the target and nearby stars.

After passing these tests, the candidate is elevated to

“ Kepler Object of Interest” (KOI) status and is forwarded to the Threshold Crossing Event Review Team. They examine the information associated with each KOI, add any that they have found by visual inspection, judge the priority of each KOI, and then send the highest priority candidates to the Follow-up Observation Program (FOP) for various types of observations and additional analysis. These observations include the following.

1. High-resolution imaging with adaptive optics or speckle interferometry to evaluate the contribution of other stars to the photometric signal and to evaluate the shift of the photocenter when a transit occurs.

2. Medium-precision RV measurements are made to rule out stellar or brown dwarf mass companions and to better characterize the host star.

3. A stellar blend model (Torres et al.

2004 ) is used to check

that the photometry is consistent with a planet orbiting a star rather than the signature of a multi-star system.

4. High-precision RV measurements may be made, as appropriate, to verify the phase and period of the most promising

The Astrophysical Journal

, 728:117 (20pp), 2011 February 20 candidates and ultimately to determine the mass and eccentricity of the companion and to identify other non-transiting planets. For low-mass planets where the RV precision is not sufficiently high to detect the stellar RV variations, RV observations are conducted to produce an upper limit for the planet mass and assure that there is no other body that could cause confusion.

5. When the observations indicate that the Rossiter–

McLaughlin effect (Winn

2007 ) will be large enough to be

measured in the confirmation process, such measurements may be scheduled, typically at the Keck Observatory.

6. When the data indicate the possibility of transit-timing variations large enough to assist in the confirmation process, the multiple-planet and transit-timing working groups perform additional analysis of the light curve and possible dynamical explanations (Steffen et al.

2010 ).

2.5. Estimate of the False Positive Rate

This paper discusses the characteristics for the 311 candidates

(associated with 305 stars) in the released list. These candidates have not been fully vetted through the steps described above, so a substantial fraction of the candidates could be false positives. The process of determining the residual false positive fraction for Kepler candidates at various stages in the validation process has not proceeded far enough to make good quantitative statements about the expected true planet fraction, or purity, of the released list but a modest improvement can be made over the broad estimate of 24%–60% good planets given in Gautier

et al. ( 2010 ).

The candidates come from about 425 TCEs using the first three, pre-FOP, validation steps; i.e., check that the odd- and even-numbered transit depths have the amplitude, search for a secondary eclipse, and check that any centroid shift during the transits is consistent with a transit of the target star. Essentially no analysis of ground-based follow-up observations was applied to the released list. About 29% of the 425 TCEs were removed as false positives, mainly EB target stars and background eclipsing binaries (BGEBs) whose images were confused with those of the target stars. The false positives remaining in the 312 candidates should consist of BGEBs closer to the target star than the preliminary vetting could detect, EBs missed in the preliminary light curve analysis, and triple systems harboring an EB.

The analysis used to identify false positives in the 425

TCEs is not considered thorough. For instance, the centroid motion analysis to detect BGEBs in the released list is not particularly sensitive because only the KIC stars in the aperture used for the KOIs were used. A higher sensitivity to BGEBs is obtained when follow-up imaging of star fields around the

KOIs is made using high spatial resolution imaging techniques.

A rough estimate is that 70%–90% of the EBs and BGEBs were detected, leaving 14–53 EBs and BGEBs in the list. Analysis of medium-precision RV measurements of 268 of the 400 candidates sequestered by the Kepler team shows clear signs of 16 EBs that were not found in a relatively thorough light curve analysis. This fraction implies that 14–22 of these EBs

are left in the released list. Brown & Latham ( 2008 ) estimate that

the number of hierarchical triple systems expected to be seen by the proposed Transiting Exoplanet Survey Satellite (TESS) will be about equal to the number of planets. Almenara et al.

( 2009 ) find 6 hierarchical blends and 6 planets in a sample of

49 CoRoT candidates that were completely “solved.” Combining these estimates yields an expectation of 52

±

20 EBs and

4

Borucki et al.

BGEBs in the 312 candidates leaving 249

±

20 true planets plus hierarchical blends. Assuming a 1:1 ratio of planets to hierarchical blends, the fraction of planets in the released sample is estimated to be 41%

±

7%. This estimate might become as poor as 41%

±

17% if the uncertainty on the 1:1 ratio is as large as 40%, derived from the small number statistics used in the

Almenara paper.

It is difficult to compare our estimated purity of 41% to purity estimates of other expolanet surveys at the same stage of candidate vetting. The sample of 49 CoRoT candidates in

Almenara et al. ( 2009 ) is at roughly the same stage of vetting as

our sample and yielded 6 planets for a purity of 12%. However, the Kepler analysis has been able to take advantage of centroid motion analysis in our vetting while the CoRoT sample had essentially no vetting for BGEBs. Reducing the 19 BGEBs in the CoRoT sample by 80% to make it similar to our sample produces a purity of 18%. The difference appears to come from the larger fraction of EBs in the CoRoT sample than we expect in

ours. Estimates for TESS from Brown & Latham ( 2008 ) predict

28% purity, near the lower end of estimates for our list at a vetting stage similar to ours.

3. RESULTS

For the released candidates, the KOI number, the KIC number, the stellar magnitude, effective temperature, and surface gravity of the star taken from the KIC are listed in the

Appendix .

Also listed are the orbital period, epoch, and an estimate of the size of the candidate. When only one transit is seen in the Q1 data, the epoch and period are calculated using data obtained subsequently. More information on the characteristics of each star can be obtained from the KIC. Several of the target stars show more than one series of planetary transit-like events and therefore have more than one planetary candidate.

These candidate multi-planet systems are of particular interest to investigations of planetary dynamics. The candidate multipleplanet systems (i.e., KOI 152, 191, 209, 877, and 896) are discussed in a later section.

3.1. Naming Convention

It is expected that many of the candidates listed in the

Appendix

will be followed up by members of the science community and that many will be confirmed as planets. To avoid confusion in naming them, it is suggested that the community refers to Kepler stars as KIC NNNNNNN (with a space between the

“KIC” and the number), where the integer refers to the ID in the

KIC archived at MAST. For planet identifications, a letter designating the first, second, etc., confirmed planet as “b,” “c,” etc.

should follow the KIC ID number. At regular intervals, the literature will be combed for planets found in the Kepler star field, sequential numbers assigned, the IAU-approved prefix (“ Kepler ”) added, and the information on the planet with its reference will be placed in the Kepler Results Catalog. Preliminary versions of this catalog will be available at the MAST and revised on a yearly basis.

3.2. Statistical Properties of Planet Candidates

We have conducted some statistical analyses of the 306 of the 311 released candidates to investigate the general trends and initial indications of the characteristics of the detected planetary candidates. Five of the 312 candidates were not considered in

The Astrophysical Journal

, 728:117 (20pp), 2011 February 20

5

4.5

16000

14000

4

3.5

3

12000

10000

8000

2.5

2

6000

4000

1.5

1

2000

0.5

4000 5000 6000 7000 8000 9000 10000

Effective Temperature (K)

0

13.5

14 14.5

15

Kp

15.5

Figure 1.

Distributions of effective temperature and magnitude for the stars considered in this study.

(A color version of this figure is available in the online journal.)

16 16.5

Borucki et al.

the analysis because they were at least twice the size of Jupiter and are likely to be M dwarf stars.

The readers are cautioned that the sample considered here contains many poorly quantified biases. Some of the released candidates could be false positives. Further, those candidates orbiting stars brighter than 13.9 mag and the small-size candidates (i.e., those with radii less than 1.5

R

) are not among the released stars. Nevertheless, the large number of candidates provides interesting, albeit tentative, associations with stellar characteristics. Comparisons are limited to orbital periods of

< 33 .

5 days. For candidates with periods greater than 16.75

days and that have only a single transit during Q1, data obtained at a later date were used to compute the orbital period to provide necessary information for observers.

In the figures below, the distributions of various parameters are plotted and compared with values in the literature and those

derived from the Extrasolar Planets Encyclopedia

28

(EPE; as of

2010 December 7).

The results discussed here for the 306 candidates are primarily based on the observations of 87,615 stars with K p

> 13.9 with effective temperature above 4000 K, and with size less than

10 times the size of the Sun. The latter condition is imposed because the photometric precision is insufficient to find Jupitersize and smaller planets orbiting stars with 100 times area of the

Sun. Stellar parameters are based on KIC data. The function of the KIC was to provide a target sample with a low fraction of evolved stars that would be unsuitable for transit work, and to provide a first estimate of stellar parameters that is intended to be refined spectroscopically for KOI at a later time. Spectroscopic observations have not been made for the released stars, so it is important to recognize that some of the characteristics listed for the stars are uncertain, especially surface gravity (i.e., log g ) and metallicity ([ M / H ]). The errors in the star diameters can reach

25%, with proportional changes to the estimated diameter of the candidates.

28

Extrasolar Planets Encyclopedia: http://exoplanet.eu/ .

5

In Figure

1 , the stellar distributions of magnitude and effec-

tive temperature are given for reference. In later figures, the association of the candidates with these properties is examined.

It is clear from Figure

1

that most of the stars monitored by

Kepler have temperatures between 4000 and 6500 K; they are mostly late F, G, and K spectral types. This is because these types are the most frequent for a magnitude-limited survey of dwarfs and because the selection of target stars was purposefully skewed to enhance the detectability of Earth-size planets by choosing those with an effective temperature and magnitude that maximized the transit S / N (Batalha et al.

2010 ). Thus,

the decrease in the number of monitored stars for magnitudes greater than 15.5 is due to the selection of only those stars in the field of view (FOV) that are likely to be small enough to show planets. In particular, A, F, and G stars were selected at magnitudes where they are sufficiently bright for their low shot noise to overcome the lower S / N for a given planet size due to their large stellar radii. After all available bright dwarf stars are chosen for the target list, many target slots remain, but only dimmer stars are available (Batalha et al.

2010 ). From the

dimmest stars, the smallest stars are given preference. In the following figures, when appropriate, the results will be based on the ratio of the number of candidates to the number of stars in each category.

A comparison of the distributions shown in Figure

2

indicates that the majority of the candidates discovered by Kepler are

Neptune-size (i.e., 3.8

R

) and smaller; in contrast, the planets discovered by the transit method and listed in the EPE are typically Jupiter-size (i.e., 11.2

R

) and larger. This difference is understandable because of the difficulty in detecting small planets when observing through Earth’s atmosphere.

The Kepler results shown in Figure

2

imply that small candidate planets with periods less than 33.5 days are much more common than large candidate planets with periods less than

33.5 days and that the ground-based discoveries are potentially sampling the upper tail of the size distribution (Gaudi

2005 ).

Note that for a substantial range of planet sizes, an R

2

The Astrophysical Journal

, 728:117 (20pp), 2011 February 20

120

100

80

60

40

20

0

Analytic curve−1/R

2

15

10

5

0

0 5 10

Planet radius (Re)

15 20

Figure 2.

Size distribution. Upper panel: Kepler candidates. Lower panel: planets discovered by the transit method and listed in the EPE as of 2010

December 7 (without Kepler planets).

(A color version of this figure is available in the online journal.)

80

60

40

20

Line shows the relative effect of the probability of geometrical alignment

0

0 0.05

0.1

Semi−Major Axis, a (AU)

0.15

0.2

50

40

30

20

10

0

−1.6

−1.5

−1.4

−1.3

−1.2

−1.1

−1 logarithm Semi−Major Axis, a (AU)

−0.9

−0.8

−0.7

Figure 3.

Semi-major axis distribution of candidates. Upper panel: in linear intervals. Lower panel: in logarithmic intervals.

(A color version of this figure is available in the online journal.)

Borucki et al.

12

10

8

6

4

2

0

80

Super−Earth−size

60

40

20

0

Neptune−size

30

20

10

Jupiter−size

3

2

1

Very−Large− size

0

0 .04

.08

.12

.16

Semi−major Axis (AU)

.2

0

0 .04

.08

.12

.16

Semi−major Axis (AU)

.2

Figure 4.

Semi-major axis distribution of candidates grouped into four candidate sizes.

(A color version of this figure is available in the online journal.)

60

40

20

0

0 5 10 15 20 25 30

25

20

15

10

5

0

0 5 10 15

Orbital Period (d)

20 25 30

Figure 5.

Upper panel: period distribution of Kepler candidate planets.

Lower panel: period distribution of exoplanets listed in the EPE (as of 2010

December 7) determined from RV measurements.

(A color version of this figure is available in the online journal.) curve fits the Kepler data well. Because it is much easier to detect larger candidates than smaller ones, this result implies that the frequency of planets decreases with the area of the planet, assuming that the false positive rate and other biases are independent of planet size for planets larger than 2 Earth radii.

In Figure

3 , the dependence of the number of candidates

on the semimajor axis is examined. In the upper panel, an analytic curve has been fitted to show the expected reduction in the integrated number in each interval due to the decreasing geometrical probability that orbits are correctly aligned with the line of sight. It has been fitted over the range of semimajor axis from 0.04 to 0.2 AU corresponding to orbital periods from

3 days to ∼ 33 days for a solar-mass star.

Although the corrections necessary to normalize the observed distribution to an unbiased one are too lengthy to consider here, we performed a statistical analysis that corrected for the probability of orbital alignment. Although the sample sizes are small and thus the results are uncertain, it is interesting to

6 correct the observations to get a lower limit to the occurrence frequencies.

The corrected number of candidates ( Nc ) in each 0.01 AU interval of the semimajor axis is estimated from

N c

=

Average( a i

/R i

) N obs

, (1) where a i is the semimajor axis of candidate “ i ,” R i is the stellar radius of the host star, N obs is the number of detected candidates in the interval of the semimajor axis, and the index “ i ” counts only those candidates in each increment of the semimajor axis.

Considering only this correction and only for the range of the semimajor axis from 0.04 to 0.2 AU, the fraction of stars detected with candidates is nearly constant with the semimajor axis and equal to 6.8

× 10

2 .

Only a small decrease in the number of candidates with the logarithm of the semimajor axis is seen in the bottom panel of

Figure

3 . Appropriate corrections for the geometric probability

The Astrophysical Journal

, 728:117 (20pp), 2011 February 20

60

50

40

All Sizes

6

Super−Earth−size

5

4

40

30

Neptune−size

30

20

10

0

0

3

2

1

0

0

20

10

10 20 30 10 20 30

0

0 10 20 30

Orbital Period (d)

14

12

10

8

6

Jupiter−size

4

2

0

0 10 20 30

Orbital Period (d)

2

1.5

1

0.5

Very−Large− size

0

0 10 20 30

Orbital Period (d)

Figure 6.

Orbital period distribution for several choices of candidate size.

(A color version of this figure is available in the online journal.) showed a large increase in the number per logarithmic interval as expected from an examination of the upper panel. Thus, these observations are not consistent with a logarithmic distribution of candidates with semimajor axis.

A breakout of the number of candidates versus semimajor axis is shown in Figure

4 . “Super-Earth-size” candidates are

those with sizes from 1.25

R ⊕ to 2.0

R ⊕ . These are expected to be rocky-type planets without a hydrogen–helium atmosphere.

“Neptune-size” candidates are those with sizes from 2.0

R ⊕ to

6 R

, and are expected to be similar to Neptune and the ice giants in composition. Candidates with sizes between 6 and 15

R

⊕ and between 15 and 22 R

⊕ are labeled Jupiter-size and very large candidates, respectively. The nature of the larger category of objects is unclear. No mass measurements are available. It is possible that they are small stars transiting large stars. It is

Borucki et al.

also possible that these are ordinary Jovian planets whose stars have incorrectly assigned radii or that they are the tail of the distribution of large planets.

A correction of these results for the probability of a geometrical alignment shows that the adjusted occurrence frequencies of candidate planets are 8

×

10

3 , 4.6

×

10

2 , 1.2

×

10

2 , and

2 × 10

− 3 for super-Earth-size, Neptune-size, Jupiter-size, and the very large candidates, respectively. Substantial increases in the values for the smaller candidates are expected when more comprehensive corrections are made for low-level signals that are currently too noisy to produce detectable transits and when a larger range of semimajor axis is considered.

There are several references in the literature to the pile-up of giant planet orbital periods near 3 days (Santos & Mayor

2003 )

and a “desert” for orbital periods in excess of 5 days. Figure

5

is a comparison of distributions of frequency with orbital period for the Kepler results with that derived from the planets listed in the

EPE. In this instance, the much larger number of planets listed in the EPE under RV discoveries was used in the comparison.

The very compact distribution of frequency with orbital periods between 3 and 7 days seen in the EPE results is also seen in the Kepler results. However, there is little sign of the “desert” that has been discussed in the literature with respect to the RV results for giant planets. We note that the Kepler sample contains a much larger fraction of super-Earth-size candidates than does the EPE sample.

In Figure

6 , the dependences of the number of candidates

with the size groups and orbital period are shown.

The first four panels indicate that the observed number of candidates is decreasing with orbital period regardless of size and that there is a peak in concentration for orbital periods between 2 and 5 days for all sizes.

All panels in Figure

7

show a lack of candidates with radius less than 1.5

R

. This result is mostly due to the sequestration of small candidates for follow-up observations during the summer of 2010. In the upper left panel, the decrease in the number of candidates with increasing orbital period and with decreasing size is evident. In contrast to the strong correlation of decreasing

15

12

9

6

3

0

0 30

15

12

9

6

3

0

0 10 20

Orbital Period (d)

0.05

0.1

0.15

Semi−major Axis (AU)

0.2

15

12

9

15

12

9

6

3

6

3

0

4000 4500 5000 5500 6000 6500

Stellar Effective Temperature (K)

0

500 1000

Equilibrium Temperature(K)

1500

Figure 7.

Candidate size vs. orbital period, semimajor axis, stellar effective temperature, and equilibirum temperature. Horizontal lines mark ratios of candidate sizes for Earth-size, Neptune-size, and Jupiter-size relative to Earth size. The vertical lines in panel (d) mark off the HZ temperature range: 273–373 K.

7

The Astrophysical Journal

, 728:117 (20pp), 2011 February 20

0.0006

0.0004

0.0002

Super−Earth−size

0.004

0.003

0.002

0.001

0

Neptune−size

0

0.0015

0.0012

0.0009

0.0006

0.0003

Jupiter−size

0.0003

0.00025

0.0002

0.00015

Very−Large−size

0.0001

0.00005

0

14 14.5

15 15.5

16

0

14 14.5

15 15.5

16

Kepler Magnitude Kepler Magnitude

Figure 8.

Measured frequencies of candidates for four size ranges as a function of Kepler magnitude.

(A color version of this figure is available in the online journal.)

12

10

8

6

4

2

0

40

Super−Earth−size

80

60

40

20

Neptune−size

30

20

10

Jupiter−size

4

3

2

1

0

5

Very−Large−size

0

4000 5000 6000 7000

Stellar effective temperature (K)

8000

0

4000 5000 6000 7000

Stellar effective temperature(K)

8000

Figure 9.

Number of candidates for various candidate sizes vs. stellar effective temperature.

(A color version of this figure is available in the online journal.)

Candidate Size ( R ⊕ )

1 .

9

1 .

9

15 .

6

7 .

0

9 .

3

Table 1

Properties of Five Candidates In or Near the HZ

Candidate Properties

Period (days)

25.698

40.588

38.037

119.021

83.904

T eq

(K)

400

411

370

333

287

Epoch a

121.780

132.291

129.933

155.237

169.808

KIC No.

3966801

5461440

4932348

6862328

8018547

Stellar Properties

KOI No.

494.01

504.01

819.01

865.01

902.01

Notes.

a

Epochs are BJD-2454900.

b

The effective temperatures were derived from spectroscopic observations as described in Steffen et al. ( 2010 ).

T eff b

(K)

4854

5403

5386

5560

4312

K p

14.9

14.6

15.5

15.1

15.8

8

Borucki et al.

The Astrophysical Journal

, 728:117 (20pp), 2011 February 20

Borucki et al.

0.004

0.003

0.002

0.001

0

0.0005

0.0004

0.0003

0.0002

0.0001

0

0.004

0.0012

0.003

0.0010

0.0008

0.002

0.0006

0.0004

0.001

0.0002

0

4000 5000 6000

Stellar temperature

7000

0

4000 5000 6000

Stellar temperature

7000

Figure 10.

Measured frequency of stars with candidates vs. stellar temperature. From upper left (clockwise): all released candidates, super-Earth-size candidates,

Neptune-size candidates, and Jupiter-size candidates.

(A color version of this figure is available in the online journal.)

KOI No,

152.01

152.02

152.03

191.01

191.02

209.01

209.02

877.01

877.02

896.01

896.02

Table 2

Properties of Five Multi-candidate Systems

Candidate Size

0 .

58 R

J

0 .

31 R

J

0 .

30 R

J

1 .

06 R

J

2 .

04 R ⊕

1 .

05 R

J

0 .

68 R

J

2 .

53 R ⊕

2 .

34 R ⊕

0 .

38 R

J

0 .

28 R

J

Candidate Properties

Period (days)

> 27

27 .

41

13 .

48

15 .

36

2 .

42

> 29

18 .

80

5 .

95

12 .

04

16 .

24

6 .

31

Epoch a

91.747

66.630

69.622

65.385

65.50

68.635

78.822

103.956

114.227

108.568

107.051

KIC No.

8394721

5972334

10723750

7287995

7825899

T eff b

(K)

6500

5500

6100

4500

5000

Stellar Properties

K p

13.9

R.A. (2000)

20 02 04.1

15.0

14.2

15.0

15.3

19 41 08.9

19 15 10.3

19 34 32.9

19 32 14.9

Decl.

44 22 53.7

41 13 19.1

48 02 24.8

42 49 29.9

43 34 52.9

Notes.

a

Epochs are BJD-2454900.

b

The effective temperatures were derived from spectroscopic observations as described in Steffen et al. ( 2010 ).

planet mass with orbital period found by Torres et al. ( 2008 ),

no analogous dependence of candidate size with orbital period is evident.

The vertical lines in the bottom right panel mark the edges of the HZ; i.e., temperatures of 273 and 373 K. The equilibrium temperatures for the candidates were computed for a Bond albedo of 0.3 and a uniform surface temperature. However, the computed temperatures have an uncertainty of approximately

±

50 K, because of the uncertainties in the stellar size, mass, and temperature as well as the effect of any atmosphere. Over this wider temperature range, five candidates are present; two near super-Earth size, and three bracketing the size of Jupiter; see Table

1 .

In Figure

8 , the frequency of candidates in each magnitude

bin has been calculated from the number of candidates in each bin divided by the total number of stars monitored in each bin.

The number of stars brighter than 14.0 mag and fainter than 16.0

in the current list is so small that the count is not shown.

The panel for super-Earth-size candidates shows a substantial decrease in frequency for magnitudes larger than 15.0 and is indicative of difficulty in detecting small candidates around dim stars.

Figure

9

shows that the number of candidates is a maximum for stars with temperatures between 5000 and 6000 K, i.e.,

G-type dwarfs. This result should be expected because a large number of G -type stars are chosen as target stars. The relatively large number of super-Earth- and Neptune-size candidates orbiting K stars (4000 K stellar temperature 5000 K) is likely the result of small planets being easier to detect around small stars than around large stars and the relatively large number of such stars chosen. Similarly, the paucity of candidates associated with stars at temperatures above 6000 K is likely to be due to the relatively small number of such stars in the survey.

In Figure

10 , the bias associated with the number of target

stars monitored as a function of temperature is removed by

9

The Astrophysical Journal

, 728:117 (20pp), 2011 February 20

Borucki et al.

Figure 11.

Three candidate planets associated with KIC 8394721. The position of the vertical dotted lines shows the position of the transits observed for each of the candidates.

(A color version of this figure is available in the online journal.)

10

The Astrophysical Journal

, 728:117 (20pp), 2011 February 20

Borucki et al.

Figure 12.

Two candidate planets associated with KIC 5972334. The clear detection of two candidates (1.06

R

J super-Earth-size candidates even for stars as dim as 15th magnitude.

(A color version of this figure is available in the online journal.) and 2.0

R ⊕ ) demonstrates that Kepler can detect computing the frequencies of the candidates as a fraction of the number of stars monitored.

Note that the frequency for the total of all candidate sizes is nearly constant with increasing stellar temperature. However, for super-Earth candidates, the decrease with temperature is quite marked, as might be expected when considering the substantially lower S / N due to the increase of stellar size of main-sequence stars with temperature. It is unclear whether the decrease in occurrence frequency is real or a measurement bias.

The observed increase in the frequency with stellar temperature for Jupiter-size candidates should not be biased because the signal level for such large candidates is many times the noise level associated with the instrument and shot noise. Thus, this increase could indicate a real, positive correlation of giant candidates with stellar mass (Johnson et al.

2010 ).

A study of the dependence of the frequency of the planet candidates on the stellar metallicity was not considered, because the metallicities in the KIC are not considered sufficiently reliable. In particular, the D51 filter used in the estimation of metallicity is sensitive to a combination of the effects of surface gravity and metallicity, especially within the temperature range from roughly late K to late F stars. However, the information generated by this filter was used to develop the association with log g , thereby making any estimate of metallicity highly uncertain.

4. EXAMPLES OF CANDIDATE MULTI-PLANET

SYSTEMS

A number of target stars with multiple-planet candidates orbiting a single star have been detected in the Kepler data. The light curves for five multi-candidate systems in the released data are shown in Figures

11 –

15 . Only a single transit-like event is

seen in Q1 for some planet candidates, as expected for planets

11

The Astrophysical Journal

, 728:117 (20pp), 2011 February 20

Borucki et al.

Figure 13.

KIC 10723750. The two sets of transits correspond to two different Jupiter-size (1.05 and 0.68

R

J

) candidates with long periods.

(A color version of this figure is available in the online journal.) with orbital periods exceeding the 33.5 days of observations.

For other candidate systems, several transits of multiple-planet candidates have been observed.

In two cases, the ratio of putative orbital periods is near 2.

For such a system there is a high (60%) conditional probability that both planets transit, provided that the inner planet transits and the system is planar. For systems with planet candidates having a large ratio of orbital periods (e.g., KOI 191), the probability that the outer planet will transit, given that the inner one does, is small. While an exhaustive study remains to be done, the implication is that many planetary systems have multiple planets or that nearly coplanar planetary systems might be common.

Any of these multiple-planet candidate systems, as well as the single-planet candidate systems, could harbor additional planets that do not transit and therefore are not seen in these data.

Such planets might be detectable via transit-timing variations of the transiting planets after several years of Kepler photometry

(Agol et al.

2005 ; Holman & Murray 2005 ). Based on the data

presented here, we do not find any statistically significant transittiming variations for the five candidate multiple-planet systems or for the single-planet candidates listed in the

Appendix .

Table

2

lists the general characteristics of the five multicandidate systems in the released data. It should be noted that in previous instances, multiple EBs have been seen in the same photometric aperture and can appear to be multiple-planet systems. A thorough analysis of each system and a check for background binaries are required before any discovery should be claimed. A more extensive discussion of these candidates can

be found in Steffen et al. ( 2010 ).

12

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, 728:117 (20pp), 2011 February 20

Borucki et al.

Figure 14.

KIC 7287995. A cool, spotted star with two super-Earth candidates (2.7 and 2.3

R ⊕ ) with near-resonant periods of 5.96 and 12.04 days.

(A color version of this figure is available in the online journal.)

5. ECLIPSING BINARY DATA

More than 1.2% of Kepler stars are EB stars. Statistical results

derived from 1832 EBs are presented by Prsa et al. ( 2010 ).

Figure

16

depicts a distribution of EB periods. The stacked grayscaled bars correspond to different morphologic types. This distribution can be readily compared to that for transiting planets shown in Figure

5

for the planetary candidates. The distribution of observed EB stars is more heavily weighted toward short periods than is the distribution of planet candidates. This is due to over-contact binaries and ellipsoidal variables, for which there is no counterpart among planets. For a comprehensive discussion of EB stars seen in the Kepler data, see Prsa et al.

( 2010 ).

6. SUMMARY AND CONCLUSIONS

The following conclusions must be tempered by recognizing that many sources of bias exist in the results and that the results apply only to the released candidates.

Most candidate planets are less than half the radius of Jupiter.

Five candidates are present in and near the HZ; two near super-Earth size, and three bracketing the size of Jupiter.

There is a narrow maximum in the frequency of candidates with orbital period in the range from 2 to 5 days. This peak is more prominent for large candidate planets than for small candidates.

The adjusted occurrence frequencies of super-Earth-,

Neptune-, Jupiter-, and very large size candidates in short-period orbits are approximately 8

×

10

3 , 4.6

×

10

2 , 1.2

×

10

2 , and

2

×

10

− 3

, respectively. These values are expected to be lower than unbiased values because no corrections have been made for factors such as stellar magnitude and variability which have substantial effects on the detectability.

The distributions of orbital period and magnitude of the candidates much larger than Jupiter appear to be quite different from those of smaller candidates and might represent small stellar companions or errors in the size estimation of the dimmest stars in the Kepler planet search program.

13

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, 728:117 (20pp), 2011 February 20

Borucki et al.

Figure 15.

KIC 7825899. A K-type star with two Neptune-size candidates in 6.3-day and 16.2-day orbits.

(A color version of this figure is available in the online journal.)

One of the five candidate multi-planet systems has two super-Earth-size candidates (2.5 and 2.3

R

⊕ periods of 5.96 and 12.04 days.

) with near-resonant

Kepler was competitively selected as the 10th Discovery mission. Funding for this mission is provided by NASA’s

Science Mission Directorate. Some of the data presented herein were obtained at the W. M. Keck Observatory, which is operated as a scientific partnership among the California Institute of

Technology, the University of California, and the National

Aeronautics and Space Administration. The Observatory was made possible by the generous financial support of the W. M.

Keck Foundation. The authors thank the many people who gave so generously of their time to make this mission a success.

Figure 16.

Distribution of EB stellar periods. Objects are classified into five groups based on their morphologic type: ellipsoidal variables (ELL), overcontact binaries (OC), semi-detached binaries (SD), detached binaries (D), and uncertain

(UnC).

14

APPENDIX

For the released candidates, the KOI number, the KIC number, the stellar magnitude, effective temperature, and surface gravity of the star taken from the KIC are listed in Table

A1 . Also listed

403.01

409.01

410.01

412.01

413.01

416.01

417.01

418.01

419.01

229.01

234.01

235.01

237.01

239.01

240.01

241.01

242.01

430.01

431.01

432.01

433.01

434.01

435.01

438.01

441.01

443.01

420.01

421.01

423.01

425.01

426.01

427.01

428.01

429.01

214.01

215.01

217.01

219.01

220.01

221.01

223.01

224.01

225.01

226.01

198.01

200.01

204.01

206.01

208.01

210.01

211.01

212.01

152.01

152.02

152.03

191.01

191.02

209.01

209.02

184.01

187.01

188.01

193.01

194.01

195.01

3847907

8491277

8107225

8041216

6383785

8026752

11288051

3642741

4247092

5444548

5449777

5683743

5791986

6508221

6879865

7975727

8219673

8352537

9115800

9478990

9967884

10016874

10189546

10418224

10616679

10717241

10843590

10858832

10937029

11656302

11709124

12302530

3340312

3833007

10666242

6046540

9305831

5728139

3762468

10602291

10656508

6300348

11046458

12508335

9595827

6305192

7132798

3937519

4545187

5547480

5801571

5959753

8394721

8394721

8394721

5972334

5972334

10723750

10723750

7972785

7023960

5357901

10799735

10904857

11502867

The Astrophysical Journal

, 728:117 (20pp), 2011 February 20

KOI KIC Number Kp

Table A1

List of Planetary Candidates

Planet Radius

R

J

1.58

0.21

1.07

0.72

0.28

0.27

0.81

1.03

0.67

0.56

0.29

0.18

0.20

0.31

0.45

0.19

0.86

0.25

0.34

0.32

0.52

1.69

0.36

0.19

0.24

0.24

0.42

1.60

0.94

0.43

0.36

0.43

1.04

0.48

1.00

2.70

1.18

0.68

0.38

0.49

0.24

0.32

0.45

0.22

3.43

0.63

0.78

1.20

1.12

1.25

0.94

0.68

0.57

0.31

0.29

1.06

0.19

1.05

0.69

1.59

1.16

0.72

1.46

0.99

1.13

Epoch

BJD-2454900

67.934

65.187

66.818

67.788

71.556

71.615

64.796

71.343

104.132

112.522

109.286

103.325

109.558

118.841

109.965

105.796

122.391

107.084

105.819

135.857

102.753

105.152

124.737

105.518

105.527

112.402

111.712

107.350

104.095

106.103

111.951

107.796

106.917

113.046

64.741

88.206

66.414

65.470

65.939

65.441

67.478

65.073

74.537

71.116

86.369

67.344

66.379

64.982

67.710

72.326

69.014

72.231

91.750

66.634

69.622

65.385

65.492

68.635

78.821

66.566

84.529

66.508

90.349

72.466

66.630

14.2

14.2

14.5

14.3

14.8

14.3

14.8

14.5

14.5

14.7

14.3

14.4

14.2

14.8

15.0

14.1

14.7

14.9

14.3

14.3

14.9

14.6

14.5

14.3

14.5

14.2

14.2

15.0

14.3

14.7

14.7

14.6

14.6

14.5

14.3

14.7

15.1

14.2

14.2

14.6

14.7

14.8

14.8

14.8

14.3

14.4

14.7

14.5

15.0

14.9

15.0

14.9

13.9

13.9

13.9

15.0

15.0

14.3

14.3

14.9

14.9

14.7

14.9

14.8

14.8

15

R

(Sun)

1.022

0.993

1.117

1.256

8.560

0.750

0.851

1.010

0.752

1.119

1.205

0.740

0.919

0.924

1.446

0.689

1.556

0.640

1.004

1.015

1.084

1.350

1.039

0.679

0.838

1.020

0.831

1.158

1.138

0.438

1.188

0.930

1.927

1.024

0.999

1.078

0.896

1.372

0.989

0.898

0.744

0.951

0.919

0.869

0.806

0.759

1.043

1.904

1.176

1.154

1.091

1.056

0.936

0.936

0.936

0.921

0.921

1.418

1.418

1.534

0.829

0.681

1.008

0.820

0.955

log( g )

(cgs)

4.440

5.008

4.384

4.275

4.557

4.647

4.594

4.422

4.695

4.370

4.356

4.654

4.533

4.539

4.602

4.854

4.507

4.584

4.433

4.457

4.372

4.564

4.663

4.595

4.628

4.617

4.513

4.317

4.448

4.544

4.328

4.496

4.549

4.485

4.442

4.395

4.724

4.727

4.867

4.686

4.657

4.507

4.546

4.892

4.629

4.690

4.476

4.345

4.585

4.352

4.407

4.538

4.536

4.536

4.536

4.519

4.519

4.478

4.478

4.431

4.703

4.730

4.465

4.633

4.498

T eff

(K)

5565

5709

5968

5584

5236

5083

5635

5153

5723

5608

5735

5041

5679

5983

5996

5055

5437

4124

5249

5830

5237

5172

5709

4351

6231

5614

4687

5181

5992

5689

5796

5293

6127

5093

5322

5535

5504

5347

5388

5176

5128

5740

6037

5043

5538

5774

5287

5771

6094

5812

6072

5843

6187

6187

6187

5495

5495

6221

6221

6134

5768

5087

5883

5883

5604

Period

(days)

21 .

057

13 .

249

7 .

217

4 .

147

15 .

229

18 .

208

19 .

193

22 .

418

20 .

131

3 .

573

9 .

614

5 .

632

8 .

508

5 .

641

4 .

287

13 .

821

7 .

259

12 .

377

18 .

870

5 .

263

4 .

030

22 .

265

20 .

548

5 .

931

30 .

544

16 .

217

6 .

010

4 .

454

21 .

087

5 .

428

16 .

301

24 .

615

6 .

873

8 .

600

3 .

312

42 .

944

3 .

905

8 .

025

2 .

422

3 .

413

3 .

177

3 .

980

0 .

839

8 .

309

87 .

233

7 .

341

3 .

247

5 .

334

3 .

004

20 .

927

35 .

875

5 .

696

52 .

088

27 .

401

13 .

484

15 .

359

2 .

419

50 .

789

18 .

796

7 .

301

30 .

883

3 .

797

37 .

590

3 .

121

3 .

218

Borucki et al.

522.01

523.01

524.01

525.01

526.01

528.01

532.01

533.01

535.01

537.01

509.01

511.01

512.01

513.01

514.01

519.01

520.01

521.01

494.01

497.01

499.01

501.01

502.01

503.01

504.01

505.01

506.01

507.01

483.01

484.01

486.01

487.01

488.01

491.01

492.01

493.01

538.01

539.01

540.01

541.01

542.01

543.01

544.01

450.01

451.01

452.01

454.01

456.01

457.01

458.01

459.01

460.01

466.01

467.01

468.01

469.01

470.01

471.01

472.01

473.01

474.01

476.01

477.01

480.01

482.01

6381846

6451936

6838050

6937692

7602070

8022244

8037145

8162789

8265218

8806123

8934495

9119458

9157634

9941859

10454313

10513530

10873260

11073351

11497977

12061222

12404305

12834874

2557816

3541800

3559935

3834360

3966801

4757437

4847534

4951877

5282051

5340644

5461440

5689351

5780715

5812960

11090765

11246364

11521048

11656721

11669239

11823054

11913012

6042214

6200715

6291033

7098355

7269974

7440748

7504328

7977197

8043638

9008220

9583881

9589524

9703198

9844088

10019643

10123064

10155434

10460984

10599206

10934674

11134879

11255761

The Astrophysical Journal

, 728:117 (20pp), 2011 February 20

KOI KIC Number Kp

Table A1

(Continued)

Epoch

BJD-2454900

102.712

103.504

105.919

103.098

109.061

111.337

103.304

105.003

102.940

131.230

104.997

106.678

104.044

109.674

106.689

104.698

104.182

103.785

106.257

108.064

102.492

106.036

109.444

102.670

127.712

103.125

121.780

108.609

107.535

103.340

104.159

105.958

132.291

107.812

102.966

106.494

104.657

104.196

127.824

113.347

111.682

106.438

104.669

104.150

104.730

106.565

113.637

109.721

111.437

102.646

105.308

102.552

104.953

105.178

102.939

103.557

104.476

107.295

141.081

103.102

109.077

103.538

115.442

107.596

107.607

Planet Radius

R

J

0.19

0.63

0.20

0.49

0.22

0.29

0.23

0.22

0.40

0.18

0.23

0.25

0.25

0.30

0.17

0.21

0.26

0.41

0.24

0.15

0.74

0.15

0.24

0.17

0.15

0.17

0.24

0.17

0.29

0.18

0.23

0.17

0.33

0.25

0.41

0.23

0.20

0.22

0.17

0.18

0.15

0.32

0.21

0.19

0.94

0.32

0.41

0.28

0.48

0.36

0.49

0.30

0.23

0.34

0.21

0.27

0.35

0.17

0.38

0.22

0.22

0.23

0.23

0.24

0.30

14.4

15.0

14.9

14.5

14.4

14.6

14.7

14.7

14.4

14.7

14.9

14.2

14.8

14.9

14.4

14.9

14.6

14.6

14.6

14.1

14.9

14.7

14.3

14.7

14.8

14.9

14.6

14.3

14.6

14.3

15.0

14.6

14.2

14.7

14.9

14.7

14.5

14.1

14.5

14.7

14.4

14.4

14.7

14.2

14.7

14.2

14.7

14.7

14.8

14.8

14.7

14.2

14.9

14.6

14.8

14.6

14.7

14.4

15.0

14.7

14.3

15.0

14.7

14.3

14.9

16

R

(Sun)

0.631

1.066

0.720

1.241

0.796

1.138

1.033

0.985

1.358

0.949

0.900

1.083

1.178

1.204

0.841

0.991

0.946

1.094

1.061

1.137

0.934

0.741

1.128

0.686

1.012

0.620

1.163

0.896

1.502

1.134

0.673

0.678

1.259

0.896

1.024

0.938

0.745

0.969

0.977

0.955

0.798

1.258

0.871

0.904

1.012

1.771

0.835

0.950

0.729

1.248

1.040

1.150

0.590

0.979

0.900

0.827

0.782

0.766

1.149

0.737

1.015

0.881

0.889

0.915

1.036

log( g )

(cgs)

4.910

4.421

4.698

4.281

4.633

4.346

4.540

4.444

4.450

4.906

4.565

4.404

4.316

4.577

4.916

4.523

4.465

4.394

4.427

4.361

4.498

4.712

4.357

4.724

4.585

4.904

4.495

4.531

4.501

4.339

4.550

4.754

4.242

4.557

4.408

4.703

4.759

5.000

4.510

4.490

4.684

4.263

4.571

4.561

4.648

4.409

4.569

4.515

4.650

4.280

4.428

4.334

4.896

4.539

4.499

4.631

4.653

4.670

4.580

4.686

4.468

4.514

4.513

4.511

4.426

T eff

(K)

5663

5942

5187

5524

5467

5448

5874

5198

5782

5889

5437

5802

5406

6288

5446

5807

5048

5767

5923

5722

5361

5369

5509

5166

5883

4854

6045

5362

5556

5288

4110

5403

4985

5777

5117

5410

5065

5625

5463

5488

5965

5373

5583

6089

6333

5935

5138

5644

4931

5593

5601

5387

5907

5583

4999

6005

5542

5548

5682

5379

6143

4993

5039

5324

5526

Period

(days)

12 .

831

49 .

413

4 .

593

11 .

532

2 .

105

9 .

577

4 .

222

16 .

550

5 .

853

2 .

820

4 .

167

8 .

006

6 .

510

35 .

181

11 .

757

11 .

904

12 .

760

10 .

161

25 .

698

13 .

193

9 .

669

24 .

793

5 .

910

8 .

222

40 .

588

13 .

767

1 .

583

18 .

495

4 .

799

17 .

204

22 .

184

7 .

659

9 .

380

4 .

662

29 .

910

2 .

908

21 .

214

29 .

122

25 .

703

13 .

647

41 .

889

4 .

302

3 .

748

27 .

047

3 .

724

3 .

706

29 .

007

13 .

700

4 .

921

53 .

717

19 .

447

17 .

587

9 .

391

18 .

009

22 .

184

10 .

329

3 .

751

21 .

348

4 .

244

12 .

705

10 .

946

18 .

428

16 .

542

4 .

302

4 .

993

Borucki et al.

728.01

729.01

730.01

732.01

733.01

734.01

736.01

737.01

740.01

743.01

609.01

610.01

614.01

617.01

618.01

620.01

725.01

726.01

592.01

593.01

597.01

598.01

599.01

600.01

602.01

605.01

607.01

608.01

581.01

582.01

583.01

585.01

586.01

587.01

588.01

590.01

746.01

747.01

749.01

750.01

752.01

753.01

758.01

546.01

547.01

549.01

551.01

552.01

553.01

554.01

557.01

558.01

559.01

560.01

563.01

564.01

565.01

569.01

570.01

572.01

573.01

574.01

575.01

578.01

580.01

5608566

5686174

7368664

9846086

10353968

11773022

10068383

10157573

10221013

10225800

10227020

10265898

10271806

10272442

10340423

10345478

10395381

10464078

8822216

9020160

9076513

9279669

9570741

9607164

9631762

9782691

9957627

9958962

10600261

10656823

10676824

10718726

12459913

4832837

5441980

5562784

10526549

10583066

10601284

10662202

10797460

10811496

10987985

12058931

12116489

3437776

4270253

5122112

5303551

5443837

5774349

5978361

6422367

6501635

6707833

6786037

7025846

8008206

8106610

8193178

8344004

8355239

8367113

8565266

8625925

The Astrophysical Journal

, 728:117 (20pp), 2011 February 20

KOI KIC Number Kp

Table A1

(Continued)

Epoch

BJD-2454900

105.027

113.850

103.023

131.599

111.347

92.107

102.644

106.266

103.121

102.674

109.793

103.407

102.725

120.924

110.789

115.678

119.368

105.491

108.914

103.467

103.740

104.558

108.979

104.606

108.672

107.545

108.475

104.792

109.942

104.152

106.212

103.367

110.276

102.718

106.492

125.921

106.246

104.602

104.806

104.535

103.533

108.840

109.353

103.202

118.442

105.782

112.777

105.505

104.362

116.405

102.879

108.711

103.186

121.061

126.512

111.850

104.099

104.453

103.544

103.785

106.084

106.712

112.266

108.632

104.887

Planet Radius

R

J

0.89

0.36

0.31

0.25

0.24

0.39

0.25

0.43

0.17

1.65

1.20

0.19

0.36

2.06

0.28

0.65

0.75

0.30

0.24

0.28

0.23

0.19

0.26

2.11

0.43

0.24

0.19

0.20

0.18

0.20

0.18

0.23

0.16

0.57

0.47

0.23

0.20

0.17

0.18

0.16

0.28

0.21

0.16

0.20

0.39

0.28

0.22

0.17

0.16

0.18

0.31

0.31

0.32

0.44

0.17

1.00

0.14

0.21

0.27

0.23

0.28

0.21

0.23

0.46

0.19

15.4

15.6

15.3

15.3

15.6

15.3

16.0

15.7

15.6

15.5

14.5

14.7

14.5

14.6

15.0

14.7

15.8

15.1

15.3

15.8

15.4

15.4

15.3

15.4

15.4

14.3

15.0

14.9

14.8

14.9

14.8

14.6

14.9

14.4

14.7

14.8

14.8

14.6

14.9

14.6

14.6

14.3

14.6

14.9

14.5

15.0

14.9

14.8

14.7

14.5

14.9

14.9

14.8

14.6

14.9

14.7

14.3

14.5

14.8

14.2

14.7

14.9

14.7

14.7

14.9

17

R

(Sun)

0.918

0.838

1.287

0.860

0.730

1.329

0.681

0.798

0.703

1.904

1.231

0.687

0.589

0.917

0.922

1.384

0.882

0.969

0.788

0.608

0.915

0.703

1.067

0.621

1.172

1.077

0.889

1.046

0.749

0.916

1.032

1.282

0.581

0.825

1.326

0.761

0.750

1.197

0.695

0.802

1.005

0.852

0.922

1.244

0.788

1.059

0.775

1.057

1.140

0.809

1.005

0.835

0.955

0.750

1.173

1.453

1.068

0.851

1.033

1.325

1.149

0.727

0.994

1.528

0.806

log( g )

(cgs)

4.544

4.608

4.386

4.588

4.846

4.700

4.552

4.602

4.640

4.304

4.295

4.529

4.887

4.530

4.516

4.544

4.652

4.508

4.551

4.680

4.780

4.624

4.406

4.843

4.284

4.408

4.617

4.416

4.811

4.540

4.445

4.405

4.757

4.608

4.551

4.856

4.650

4.550

4.737

4.669

4.423

4.459

4.546

4.487

4.619

4.414

4.667

4.431

4.394

4.641

4.415

4.580

4.467

4.834

4.477

4.525

4.409

4.546

4.452

4.310

4.352

4.669

4.480

4.362

4.920

T eff

(K)

5976

5707

5599

5360

5038

5719

4157

5117

4711

4877

5696

4072

5675

5594

5471

5803

5046

6164

4681

4357

5374

4619

5584

5648

4869

5810

5737

5833

5171

5820

5869

6007

4270

5497

4324

5514

5103

5735

5437

5707

5112

4431

6106

5989

5086

5609

5627

6018

5404

5835

5002

5281

5187

5142

5879

5686

5829

5039

6079

5666

5729

5047

5979

5777

5603

Period

(days)

7 .

189

1 .

424

14 .

785

1 .

260

5 .

925

24 .

542

18 .

796

14 .

499

17 .

672

19 .

402

4 .

397

14 .

281

12 .

875

37 .

865

9 .

071

45 .

154

7 .

305

5 .

116

39 .

759

9 .

997

17 .

308

8 .

309

6 .

455

3 .

596

12 .

914

2 .

628

5 .

894

25 .

333

6 .

997

5 .

945

2 .

437

3 .

722

15 .

779

14 .

034

10 .

356

11 .

389

9 .

274

6 .

029

5 .

350

21 .

679

9 .

489

19 .

904

16 .

016

20 .

686

25 .

302

42 .

895

11 .

636

3 .

055

2 .

399

3 .

658

15 .

656

9 .

179

4 .

330

23 .

678

15 .

284

21 .

060

2 .

340

20 .

725

12 .

399

10 .

640

5 .

997

20 .

136

24 .

321

6 .

413

6 .

521

Borucki et al.

843.01

845.01

846.01

847.01

849.01

850.01

851.01

852.01

853.01

855.01

827.01

829.01

833.01

834.01

835.01

837.01

838.01

842.01

812.01

813.01

814.01

815.01

819.01

820.01

822.01

823.01

825.01

826.01

793.01

795.01

799.01

802.01

804.01

808.01

810.01

811.01

856.01

857.01

858.01

863.01

865.01

867.01

868.01

759.01

760.01

762.01

764.01

765.01

769.01

770.01

772.01

773.01

776.01

777.01

778.01

782.01

783.01

784.01

785.01

786.01

787.01

788.01

789.01

790.01

791.01

5283542

5358241

5376067

5436502

5456651

5531576

5534814

5794379

5881688

6032497

6061119

6191521

6276477

6291653

6392727

6422070

6428700

6522242

2445129

3114167

3246984

3453214

3641726

3838486

3940418

4049131

4139816

4275191

4476123

4544670

4932348

4936180

5077629

5115978

5252423

5272878

6526710

6587280

6599919

6784235

6862328

6863998

6867155

11018648

11138155

11153539

11304958

11391957

11460018

11463211

11493732

11507101

11812062

11818800

11853255

11960862

12020329

12066335

12070811

12110942

12366084

12404086

12459725

12470844

12644822

The Astrophysical Journal

, 728:117 (20pp), 2011 February 20

KOI KIC Number Kp

Table A1

(Continued)

Epoch

BJD-2454900

107.779

107.778

106.275

104.372

113.936

107.659

106.011

108.349

104.440

110.290

119.713

136.898

103.936

109.522

102.975

104.904

102.690

128.787

106.313

103.575

102.817

114.881

110.194

104.985

103.507

114.427

104.978

103.528

108.450

105.628

129.933

106.720

105.179

103.228

109.957

104.135

105.855

107.884

106.989

105.152

155.237

113.274

141.431

102.991

119.798

111.749

103.366

104.017

109.049

104.505

107.168

113.890

127.134

105.257

104.356

141.932

104.629

104.903

103.998

106.831

105.837

104.792

106.564

103.681

106.634

Planet Radius

R

J

0.56

0.35

1.37

0.70

0.24

0.89

0.50

0.20

0.28

1.21

0.25

0.24

0.39

0.78

0.17

0.16

0.69

0.25

0.91

0.19

0.86

0.22

0.63

0.32

1.04

0.22

0.60

0.27

0.90

1.39

0.67

0.95

0.82

0.19

0.21

0.34

0.22

0.41

0.75

0.23

0.37

0.23

0.41

0.21

0.26

0.68

0.21

0.55

2.00

0.18

0.59

0.32

0.81

0.24

0.71

0.20

0.96

0.25

0.21

0.17

0.30

0.31

0.15

0.18

0.79

15.3

15.4

15.5

15.2

15.0

15.3

15.3

15.3

15.4

15.2

15.5

15.4

15.4

15.1

15.2

15.7

15.3

15.4

15.3

15.1

15.1

15.5

15.1

15.2

15.2

16.0

15.7

15.6

15.7

15.5

15.3

15.8

15.2

15.3

15.1

15.1

15.6

15.3

15.6

15.4

15.8

15.1

15.4

15.4

15.5

15.2

15.2

15.5

15.5

15.1

15.3

15.1

15.3

15.4

15.4

15.3

15.1

15.4

15.5

15.2

15.4

15.2

15.7

15.3

15.1

18

R

(Sun)

1.092

1.224

0.846

1.894

0.956

0.865

0.892

0.980

0.906

0.832

0.918

0.888

0.788

1.496

0.635

0.623

0.991

0.787

0.861

0.764

0.999

0.851

1.232

0.881

0.927

0.571

0.725

0.984

0.948

0.518

0.970

0.824

4.223

0.764

0.854

1.069

0.640

1.051

0.498

0.874

0.701

0.820

0.944

0.864

0.830

1.172

1.582

0.722

0.942

0.590

1.079

0.820

0.843

0.948

0.611

1.248

1.953

0.653

0.741

0.876

1.037

0.747

0.683

0.612

1.117

log( g )

(cgs)

4.396

4.444

4.597

4.559

4.475

4.549

4.551

4.466

4.472

4.586

4.539

4.567

4.660

4.598

4.952

4.751

4.475

4.524

4.592

4.629

4.450

4.593

4.704

4.521

4.517

4.661

4.726

4.855

4.485

4.963

4.511

4.605

4.427

4.581

4.843

4.409

4.804

4.412

5.009

4.533

4.582

4.571

4.432

4.563

4.622

4.596

4.367

4.700

4.643

4.927

4.409

4.624

4.829

4.479

4.605

4.411

4.762

4.569

4.725

4.715

4.534

4.634

4.765

5.058

4.528

T eff

(K)

5784

5646

5612

5469

5303

5236

5570

5448

4842

5316

5837

5858

5781

5614

4817

4817

5794

4497

5858

5033

5440

5651

5560

5059

4118

4097

5357

5236

5344

5386

6287

5458

5976

4735

5557

5655

5455

5491

5556

5136

4389

4997

4764

5401

5887

5779

5263

5345

5461

5502

5885

5667

5309

5256

4082

5733

5284

4112

5380

5638

5615

4950

5563

5176

5564

Period

(days)

4 .

190

16 .

330

27 .

807

80 .

868

10 .

355

10 .

526

4 .

583

3 .

762

8 .

204

41 .

408

5 .

975

18 .

649

3 .

951

23 .

655

11 .

763

7 .

954

4 .

859

12 .

719

3 .

340

3 .

896

22 .

368

34 .

845

38 .

037

4 .

641

7 .

919

1 .

028

8 .

103

6 .

366

10 .

319

6 .

770

1 .

627

19 .

620

9 .

030

2 .

990

4 .

783

20 .

507

39 .

749

5 .

715

13 .

610

3 .

168

119 .

021

16 .

086

206 .

789

32 .

629

4 .

959

4 .

498

41 .

441

8 .

354

4 .

281

1 .

506

61 .

263

38 .

374

3 .

729

40 .

420

2 .

243

6 .

575

7 .

275

19 .

266

12 .

393

3 .

690

4 .

431

26 .

396

14 .

180

8 .

472

12 .

612

Borucki et al.

The Astrophysical Journal

, 728:117 (20pp), 2011 February 20

KOI

937.01

938.01

940.01

942.01

944.01

945.01

948.01

949.01

951.01

955.01

956.01

917.01

918.01

920.01

922.01

923.01

924.01

927.01

931.01

934.01

935.01

903.01

906.01

908.01

910.01

911.01

912.01

914.01

916.01

871.01

872.01

873.01

874.01

875.01

876.01

877.01

877.02

878.01

882.01

883.01

887.01

889.01

890.01

891.01

892.01

895.01

896.01

896.02

900.01

901.01

902.01

KIC Number

9406990

9415172

9479273

9512687

9595686

9605514

9761882

9766437

9775938

9825625

9875711

8039892

8226994

8255887

8414716

8490993

8505670

8552202

8628973

8655354

8672910

8689031

8826878

8883593

8951215

9097120

9166862

9334289

9347899

7031517

7109675

7118364

7134976

7135852

7270230

7287995

7287995

7303253

7377033

7380537

7458762

757450

7585481

7663691

7678434

7767559

7825899

7825899

7938496

8013419

8018547

Kp

15.4

15.6

15.0

15.4

15.4

15.1

15.6

15.5

15.2

15.1

15.2

15.2

15.0

15.1

15.4

15.5

15.2

15.5

15.3

15.8

15.2

15.8

15.5

15.1

15.7

15.4

15.1

15.4

15.1

15.9

15.0

15.0

15.3

15.5

15.8

15.0

15.3

15.2

15.3

15.0

15.0

15.7

15.3

15.1

15.2

15.4

15.3

15.3

15.4

15.8

15.8

Planet Radius

R

J

0.20

0.24

0.54

0.23

0.37

0.23

0.19

0.27

0.58

0.23

0.50

0.29

0.99

0.16

0.24

0.32

0.36

1.46

1.15

0.32

0.40

0.95

0.23

1.11

0.26

0.18

0.22

0.23

0.36

0.68

0.24

0.21

0.41

1.20

1.05

0.22

1.52

0.91

0.65

0.14

0.17

0.34

0.84

0.34

0.23

1.24

0.38

0.28

0.45

0.26

0.83

Table A1

(Continued)

Epoch

BJD-2454900

109.623

109.969

105.617

104.894

108.568

107.051

105.339

109.938

169.808

109.572

104.701

102.571

107.857

103.244

121.860

106.717

103.766

104.546

108.731

108.645

106.433

107.135

104.446

104.720

104.006

104.804

102.731

104.312

106.356

139.583

123.502

104.624

107.901

106.306

121.982

103.679

106.008

113.013

112.422

119.684

105.226

102.977

103.624

104.898

103.952

114.227

106.808

103.694

103.101

108.345

102.992

T eff

(K)

5349

5342

5284

4997

5166

6059

5298

5733

4767

6121

4580

5681

5321

5330

5253

5669

5951

5957

5714

5733

6345

5620

5017

5391

5017

5820

4214

5479

5401

5650

5127

5470

5037

4198

5417

4211

4211

4749

5081

4674

5601

5101

5976

5851

5010

5436

5206

5206

5692

4213

4312 log( g )

(cgs)

4.685

4.582

4.629

4.734

4.495

4.594

4.946

4.703

4.255

4.510

4.334

4.478

4.544

4.859

4.456

4.596

4.529

4.557

4.776

4.655

4.696

4.776

4.558

4.245

4.863

4.783

4.608

4.965

4.480

5.051

4.592

4.784

4.561

4.865

4.865

4.566

4.566

4.281

4.572

4.821

4.525

4.480

4.561

4.593

4.604

4.372

4.629

4.629

4.335

4.716

4.616

Period

(days)

20 .

835

9 .

946

6 .

105

11 .

515

3 .

108

25 .

852

24 .

582

12 .

533

13 .

197

7 .

039

8 .

361

6 .

720

39 .

648

21 .

802

5 .

155

5 .

743

39 .

478

23 .

900

3 .

856

5 .

827

20 .

859

5 .

007

7 .

157

4 .

708

5 .

392

4 .

094

10 .

849

3 .

887

3 .

315

12 .

941

33 .

593

4 .

348

4 .

602

4 .

221

6 .

998

5 .

955

12 .

038

23 .

591

1 .

957

2 .

689

7 .

411

8 .

885

8 .

099

10 .

006

10 .

372

4 .

409

16 .

240

6 .

308

13 .

810

12 .

733

83 .

904

Note.

To provide accurate estimates of the epoch and period for observers, data taken after Q1 were used when available.

R

(Sun)

0.725

0.838

1.337

0.663

0.921

1.072

0.706

0.909

1.205

1.141

1.051

0.982

1.038

0.608

0.976

1.024

0.935

0.903

1.011

0.861

1.018

1.256

0.836

1.288

0.876

0.758

0.637

1.126

0.959

0.477

0.810

0.789

0.706

0.780

0.589

0.678

0.678

1.160

0.826

0.642

0.923

0.933

1.104

1.244

0.788

1.195

0.821

0.821

1.172

0.359

0.940

Borucki et al.

are the orbital period, epoch, and an estimate of the size of the candidate.

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